Evaluate. 4/9 + 4/5 (2/3)^2 Write your answer in simplest form.
Answer: 25/27
Step-by-step explanation:
4/9 + 4/5 (2/3)^2
4/9 + (4/5)(4/9)
4/9 + (16/54)
24/54 + 16/54
50/54
25/27
Answer:4/5
Step-by-step explanation:
A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown. A cone is shown. The top of the cone is cut off to form a frustum of the bottom portion. The cone has a radius of 3. 5 and a height of 8. The frustum has a height of 11 and a radius of 7. 5. Which expression represents the volume, in cubic units, of the frustum? One-thirdĎ€(7. 52)(11) â€" One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(11) One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(19) â€" One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(19) One-thirdĎ€(3. 52)(8).
The expression that represents the volume of the frustum in cubic units is [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex][tex]units^3[/tex]
The formula for calculating the volume of a cone is expressed as:
[tex]V=\frac{1}{3} \pi r^2h[/tex]
r is the base radius of the coneh is the height of the coneThe volume of the frustum will be expressed as:
Vf = Volume of the larger cone - Volume of the smaller cone
The volume of the larger cone = [tex]\frac{1}{3} \pi (7.5)^2(11+8)\\[/tex]
The volume of the larger cone = [tex]\frac{1}{3} \pi (7.5)^2(19)\\[/tex]The volume of the smaller cone = [tex]\frac{1}{3} \pi (3.5)^2(8)\\[/tex]Taking the difference in volume:
Volume of the frustum = [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex]
Therefore the expression that represents the volume of the frustum in cubic units is [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex][tex]units^3[/tex]
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who ran faster, noah or lin?
when amy us doing he homework, she writes the divisor 76 as 67 by accident, and the result is a quotient of 15 and a reminder of 5. what is the correct quotient?
Answer:
13 r 22
Step-by-step explanation:
The dividend of Amy's division problem is d such that ...
d/67 = 15 +5/67
Multiplying by 67, we get ...
d = 15(67) +5 = 1010
When this is divided by 76, the result is ...
1010/76 = 13 22/76
The correct quotient is 13 remainder 22.
I can't find Y, please help!
Answer:
x = 50 and y = 10
Step-by-step explanation:
The drawing shows several equal sides. The triangles are a reflection of each other, so their angles will be the same.
Take the top and bottom angles:
2x + 5 and 3x - 45
They are equal, so:
2x + 5 = 3x - 45
-x = -50
x = 50
The angle y will have the same value as the one below it in the bottom triangle. Add the angles in the lower triangle and since the sum of the angles in a triangle is always 180, we can say:
y + (8y-15) + (3x-45) = 180
Rearrange:
y = 180 - (8y-15) - (3x-45)
y = 180 - 8y + 15 - 3x + 45
9y = 180 + 15 - 3x + 45
Since x = 50:
9y = 180 + 15 - 3*(50) + 45
9y = 180 + 15 - 150 + 45
9y = 90
y = 10
A car moving at a constant speed passed a timing device at t = 0. After 8 seconds, the car has traveled 936 ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.
Answer:
The required equation is:
d = 81tf(t) = 81tStep-by-step explanation:
I think that's the answer
The linear function rule to model the distance in feet 'd' that the car has traveled any number of seconds 't' after passing the timing device. can be represented as d = f(t) = 117t
What is Linear Function?A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables but does not have exponents to the variables or the exponent of the variable is 1.
Given that car is moving at a constant speed.
Distance travelled by car = 936 feet
Time taken to travel the distance = 8 seconds
Speed = Distance / Time
= 936 / 8
= 117 feet per second
So the car will be moving at a speed of 117 feet per second at any time t.
Distance of car at any time is,
Distance = Speed × Time
d = 117 × t
d = f(t) = 117t
Hence the linear function which models the relationship between d and t is d = f(t) = 117t.
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100 points
Suppose a recipe calls for 2 1/2 cups of liquid made of milk and water. If 1 2/3 cups of milk are used, how much water is needed?
Answer:
1/3 * 3 = 1 cup of milk
1/2 * 3 = the amount of water needed per cup of milk
1/2 * 3 = 3/2 or 1.5
The recipe calls for 1.5 cups of water per cup of milk.
Hope this helps!
The quantity of water in the liquid is 5/6 cups
How to subtract fractionTotal cups of liquid (milk and water) = 2 1/2 cupsIf cups of milk = 1 2/3 cupsWater = Total cups of liquid - cups of milk
= 2 1/2 - 1 2/3
= 5/2 - 5/3
The least common denominator is 3× 2 = 6= (15-10) / 6
= 5/6 cups
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An education website has 434,206 daily unique visitors. An e-commerce website gets double the number of visitors. How many visitors does the e-commerce website get? Show Your Work
Answer:
868412
Step-by-step explanation:
434206x2=868412
whats 2x-3=67= pls HELP BRAINLy
Answer:
2x-3 = 67
2x = 67+3
2x = 70
x = 35
Answer:
x= 35
Step-by-step explanation:
what would the equation be??
Answer:
y = 4x + 8
Step-by-step explanation:
Firstly, choose 2 points ( I chose [2,11] and [4,19] ) use y2-y1/x2-x1 to find your slope of 4, next use one of the points to find your y-intercept, plug the two coordinates into your equation to get 11 = 4 (2) + b , after simplifying, your answer is y = 4x + 8
Brainliest would be appreciated. :-)
A line has a y-intercept of 3 and a slope of -1 /8. What is its equation in slope-intercept form
Answer:
-1/8x+3
Step-by-step explanation:
Answer:
y = -1/8x+3
Step-by-step explanation
your slope intercept form should be written as y=mx+b
m = slope = -1/8
y intercept = b = 3
now just replace m and b with your values
y = -1/8x+3
HELP ME PLEASE GUYS! :)
First rearrange
5x-8y=-29
5x+29=8y
5/8x+29/8=y
Then sub in your x values
Step-by-step explanation:
5x-8y=-29
5(6)-8(5)
30-40
=-10
no
5(-9)-8(-2)
=-45+16
=-29
yes
5(-3)-8(1)
-15-8
=-23
no
5(0)-8(-4)
=0+32
=32
no
best answer gets brainiest
what is the circumference and the mass of Jupiter and Saturn combined?
Mercury
Mercury is the smallest planet in the solar system. Its circumference is merely 9,522 miles, and its area totals 28,873,225 square miles. It is a terrestrial planet with a surface covered in craters, and its close proximity to the sun sometimes results in surface temperatures as high as 800 degrees Fahrenheit. Its lack of heat-retaining atmosphere, though, can cause nighttime temperatures nearing 300 degrees Fahrenheit. Besides its faint, occasional twilight appearances, Mercury is indirectly visible from Earth about a dozen times per century as it passes across the sun.
Venus
Venus is similar to Earth in size, with a circumference of 23,617 miles and an area of 177,628,840 square miles. Venus’ atmosphere contains clouds of sulfuric acid, which reflect sunlight, allowing Venus to appear brighter than other planets from Earth. Its atmosphere traps heat and can cause surface temperatures of almost 900 degrees Fahrenheit; this sweltering heat has destroyed all probes that have landed on the planet. Over a thousand volcanoes are strewn across Venus’ surface.
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Earth
The third planet from the sun is Earth, the only planet known to contain life. Its circumference is just greater than that of Venus at 24,889 miles. Of its total area -- 197,280,733 square miles -- 70 percent is covered by oceans. It orbits the sun at a distance of nearly 93 million miles on a tilted axis of over 23 degrees, creating four distinct seasons. Earth’s uniquely thin, but powerful atmosphere alters both climate and weather, protects inhabitants from the sun’s radiation and acts as a shield for meteors.
Mars
Having a circumference of 13,256 miles and an area of 55,963,741 square miles, Mars is the second smallest planet in the solar system. This terrestrial planet, known as the “Red Planet” due to its color of soil, has some notable geological features including tremendous volcanoes and a canyon system that stretches the width of the United States. Though its temperatures are too low for liquid water to remain on its surface, Mars has polar ice caps that expand and shrink according to the shift in seasons.
Jupiter
The largest planet in the solar system -- with a circumference of 278,985 miles and an area of 24,787,374,965 square miles -- is Jupiter. This gas giant is the fifth from sun and has 63 moons of its own, four of them the size of planets. Its unusual coloring is a product of visible ammonia clouds and stripes formed by east-west winds creating dark belts and light zones. These “stripes” are full of storm systems that have endured for many years, including the spinning storm known as the Great Red Spot, which is over 300 years old.
Saturn
At 235,185 miles in circumference and 17,615,265,865 square miles in area, Saturn is the sixth planet from the sun and the second largest gas giant. Its composition is mostly hydrogen and helium, while its famous rings are deceptively complex: primarily made of water ice, some braided or spoked in appearance. Saturn’s own banded appearance is the result of gusts in the upper atmosphere many times the speed of hurricane winds. Saturn has 52 known moons, two of which orbit within its rings.
Uranus
Uranus, the seventh planet from the sun, is another gas giant. It measures 99,739 miles in circumference and 3,168,132,663 square miles in area. Its blue-green appearance is a result of methane gas in its atmosphere. It rotates on a nearly horizontal axis, perhaps due to a collision with another planetary body far in the past, but the resulting seasons are not very distinct due to its distance from the sun. Uranus has 11 rings -- which are uniquely perpendicular to its orbit -- and 27 known moons.
Neptune
Nearly three million miles from the sun, Neptune -- measuring 96,645 in circumference and 2,974,591,827 square feet in area -- takes over 150 years to complete its orbit. It cannot be seen by the naked eye from Earth, despite its intense blue color, a product of atmospheric methane. Among Neptune’s distinguishing features are winds many times the strength of Earth’s, 13 known moons, six rings and a raging hurricanelike storm known as the Great Dark Spot large enough to encompass the Earth.
Answer:
Total Circumference = 514, 170 miles
Total Mass = 2, 467, 000, 000, 000 metric tons
Step-by-step explanation:
hope this helps you
The following thermometer indicates the temperature in degree centigrade at 6:00 am. If the temperature increases one degree every 30 minutes. At what time the temperature will reach 20 degrees ?
A 7:15
B 7:30
C 7:45
D 8:00
Answer:
i think (C)
Step-by-step explanation:
hope this helps you
i have some free things for yaaal
1+1=
Step-by-step explanation:
what are the free things
pls give me brainliest
find the perimeter and area?
Answer:
P = 51 units
A = 137 units^2
Step-by-step explanation:
P = 5+5+7+11+7+16 = 51 units
A = 5x5 + 16x7 = 137 units^2
Hope that helps
A pair of dice is rolled. What is the probability that the sum is nine or that the first number is a two?
Answer:
I think is 1/9
Because they say the sum is 9 and what will be chance in landing in 2
What value of x would make △PQR~△MNL?
Answer:
The answer would be 16 bc 12/18=0.6 and 16/24=0.6 so divide 10/0.6 and it gives you 16
Step-by-step explanation:
1*-2(8d-3e)=
a*16d-6e
b*-16d+6e
c*-16d-6e
??????????
2*1/3(3x-9y)-2/5(10x-15y)=
a*3y-3x
b*3x-3y
c*-3x-3y
??????
Step-by-step explanation:
2⋅13⋅(3−9)−1⋅25(10−15)=⋅3−3⋅3−3(−3)−3
\frac{2 \cdot 1}{3} \cdot (3x-9y)-1 \cdot \frac{2}{5}(10x-15y)=a \cdot 3y-3xb \cdot 3x-3yc(-3)x-3y
Tom’s weekly salary increased from $240 to $300. What was the percent change?
Answer: 25%
Step-by-step explanation:
Answer:
25% increase
Step-by-step explanation:
y - 12 = 89
y - 12 +____
=89 + 12
y=?
Answer:101
Step-by-step explanation:
How many lines of symmetry does the figure have?
0
6
4
5
Solve for j. 144j2 + 21 = 85
Answer:
2/3
Step-by-step explanation:
I assume the 2 after the j is a square. So, we bring the 21 to the other side by subtracting it from both sides, getting 144j^2=64. Now we divide to get 64/144 = j^2. Make sure NOT to simplify it, it's perfect right now. The square root of that is [tex]\sqrt{64}/ \sqrt{144}[/tex], or 8/12, which we can now simplify to 2/3. Hope this helps!
help me with this math question
Answer:
Its Answer is 13
Step-by-step explanation:
2y + 3 (x - y) + x2
Need help on 19-21 homeowrk I don’t need the rest I couldn’t crop out so only 19 throught 21
Answer:
19. 7, 20. 4, 21. 1
Step-by-step explanation:
19. 21 = 3 x 7, 49 = 7 x 7, So they both share 7
20. 8 = 2 x 2 x 2, 52 = 2 x 2 x 13, they both have 2 x 2
21. 32 = 2 x 2 x 2 x 2 x 2, 81 = 3 x 3 x 3 x 3, they have nothing in common, so they share a 1.
(9x-3)+(5x+5)+2(7x-15)=168 what is the value for x
Answer:
x = 3Step-by-step explanation:
(9x - 3) + (5x + 5) + 2(7x - 15) = 168=> 9x - 3 + 5x + 5 + 14x - 30 = 168=> 9x + 5x + 14x - 28 = 168=> 28x = 168 + 28=> 28x = 196=> x = 3Conclusion:
Therefore:
x = 3Hoped this helped.
[tex]GeniusUser[/tex]
Help me with number 32 please
Answer:
cant give you a answer but theres this app called gauth math try that its really helpful
Step-by-step explanation:
A number cube labeled 1 through 6 is rolled 5 times. What is the probability of landing on 5 each time?
Answer:
1/6
Step-by-step explanation:
can i get brainliest pls
A display at a grocery store for tomato soup says "5 cans for $3.00." At the same rate, what would be the cost of 8 cans of tomato soup?
Answer:
4.8 $
Step-by-step explanation:
5 cans = 3 $
then:
1 can = 0.6 $ because 0.6*5 = 3
Now 0.6*8 cans = 4.8 $
Answer:
$4.80
Step-by-step explanation:
The cost will be proportional to the number of cans. If the number of cans goes up by a factor of 8/5, so does the cost.
cost of 8 = (8/5)($3.00) = $4.80
Hi! im not sure if my answer is correct or not can someone check me :)